{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "\n",
    "# 特征值分解中的复数现象\n",
    "Book_4《矩阵力量》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0037a109-2bee-4036-855e-88143bdefd51",
   "metadata": {},
   "source": [
    "这段代码展示了矩阵 $A$ 对二维平面上一组初始点的逐步旋转缩放变换效果。矩阵 $A$ 是通过旋转矩阵 $R$ 和缩放矩阵 $S$ 相乘得到的，其中旋转角度 $\\theta$ 为 $30^\\circ$，缩放因子 $r = 0.8$。因此，矩阵 $A = R \\times S$ 同时包含了旋转和平缩操作，即在每次变换时，对点进行 $30^\\circ$ 的顺时针旋转，并将其缩小至原来的 $80\\%$。\n",
    "\n",
    "代码具体过程如下：\n",
    "\n",
    "1. **生成初始点**：在极坐标系中生成了 18 个初始点，这些点均匀分布在以原点为圆心、半径为 5 的圆周上，角度范围为 $[0, 2\\pi]$，用来观察不同方向上的旋转缩放变换效果。\n",
    "  \n",
    "2. **迭代应用变换**：对每个初始点，将矩阵 $A$ 反复应用 20 次，记录每次变换后的坐标，生成螺旋状的收缩轨迹。对于初始点 $\\vec{x}_0$，其经过 $k$ 次变换后的坐标为：\n",
    "\n",
    "   $$\n",
    "   \\vec{x}_k = A^k \\vec{x}_0\n",
    "   $$\n",
    "\n",
    "   每次变换后，点沿 $30^\\circ$ 旋转并缩小，逐步向原点收缩，最终形成一条螺旋收缩的轨迹。\n",
    "\n",
    "3. **可视化**：在平面上绘制每个初始点的轨迹，用彩虹色标记每条轨迹的颜色，以便于区分。初始点用较大的“$\\times$”标记，轨迹上的点则用小圆点显示。为了便于观察，设置图形坐标轴比例相等，隐藏边框，仅保留 $x$ 和 $y$ 轴，使得螺旋收缩的几何效果更加清晰。\n",
    "\n",
    "最终，代码展示了旋转缩放矩阵 $A$ 的作用：每个点在旋转的同时逐步向原点收缩，呈现出一个彩色螺旋图案。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "617cfa15-2a6c-4c5a-b752-4a1d745352ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入数值计算库\n",
    "import matplotlib.pyplot as plt  # 导入绘图库"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0732896b-4ed3-4b2b-a983-e4456d6a6123",
   "metadata": {},
   "source": [
    "## 定义旋转和缩放参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e942f79d-fdd4-4632-94d8-aabf66b5a831",
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = np.deg2rad(30)  # 旋转角度，单位为弧度\n",
    "r = 0.8  # 缩放因子"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fde78ec1-62a1-4520-8fe2-8dcabcaf0bd8",
   "metadata": {},
   "source": [
    "## 定义旋转矩阵 R 和缩放矩阵 S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5a0589a0-9334-407c-a1be-d2d49a01e310",
   "metadata": {},
   "outputs": [],
   "source": [
    "R = np.array([[np.cos(theta), -np.sin(theta)],  # 旋转矩阵\n",
    "              [np.sin(theta),  np.cos(theta)]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "42064280-1cd4-4399-9183-6babf79a6a93",
   "metadata": {},
   "outputs": [],
   "source": [
    "S = np.array([[r, 0],  # 缩放矩阵\n",
    "              [0, r]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "beb9a3db-155d-4b10-9bed-64bed76e438c",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = R @ S  # 变换矩阵 A，由旋转矩阵和缩放矩阵相乘得到"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c414c1e0-916e-43ad-ba0a-9173e0973705",
   "metadata": {},
   "source": [
    "## 计算特征值和特征向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bb908ba7-a244-4baa-821d-2635b2911214",
   "metadata": {},
   "outputs": [],
   "source": [
    "Lamb, V = np.linalg.eig(A)  # 特征值分解"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "24de9090-5404-4351-ac0c-5632414403e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.69282032+0.4j, 0.69282032-0.4j])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Lamb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a7fbd4a6-5cda-4eb8-a3df-f7526b19cdf1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        -0.70710678j,  0.        +0.70710678j],\n",
       "       [-0.70710678+0.j        , -0.70710678-0.j        ]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b33eacc-d534-438e-989c-c25c3b23bffb",
   "metadata": {},
   "source": [
    "## 创建初始点的角度数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "726a49d4-a5b6-49d6-b99c-3782d931727f",
   "metadata": {},
   "outputs": [],
   "source": [
    "theta_array = np.arange(0, np.pi * 2, np.pi * 2 / 18)  # 用于生成初始点位置的角度数组"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6332134c-bd7c-4879-93fb-bbb620337936",
   "metadata": {},
   "source": [
    "## 定义颜色"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5fd4bcc5-e4cb-4b04-ba21-581f409bc3a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "colors = plt.cm.rainbow(np.linspace(0, 1, len(theta_array)))  # 定义彩虹色谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd345500-3e14-4c36-bcac-03de9226cd75",
   "metadata": {},
   "source": [
    "## 绘制初始点及其轨迹"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c09c72f5-3714-4709-9979-911f6429d280",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x25c6b9aa6c0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "for j, theta_i in enumerate(theta_array):\n",
    "    x = np.array([[5 * np.cos(theta_i)],  # 生成初始点的坐标\n",
    "                  [5 * np.sin(theta_i)]])\n",
    "    \n",
    "    plt.plot(x[0], x[1],  # 绘制初始点\n",
    "             marker='x', color=colors[j], \n",
    "             markersize=15)\n",
    "\n",
    "    x_array = x  # 初始化轨迹数组\n",
    "\n",
    "    for i in np.arange(20):  # 迭代应用矩阵 A\n",
    "        x = A @ x  # 通过 A 变换\n",
    "        x_array = np.column_stack((x_array, x))  # 更新轨迹数组\n",
    "\n",
    "    plt.plot(x_array[0, :], x_array[1, :],  # 绘制变换轨迹\n",
    "             marker='.', color=colors[j])\n",
    "\n",
    "plt.axis('scaled')  # 设置坐标轴比例\n",
    "\n",
    "ax.spines['top'].set_visible(False)  # 隐藏顶部边框\n",
    "ax.spines['right'].set_visible(False)  # 隐藏右侧边框\n",
    "ax.spines['bottom'].set_visible(False)  # 隐藏底部边框\n",
    "ax.spines['left'].set_visible(False)  # 隐藏左侧边框\n",
    "ax.axvline(x=0, color='k')  # 添加 x 轴\n",
    "ax.axhline(y=0, color='k')  # 添加 y 轴"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
